I have a parallel circuit with a 10 Ω resistor in series with a 1mH inductor in one branch and a .1uF capacitor in the other.

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trying to understand how to analyze an RLC circuit using Laplace transforms. Please help???

I

have a parallel circuit with a 10 Ω resistor in series with a 1mH inductor in one branch and a .1uF capacitor in the other. I am required to calculate total impedance Z(s) using Laplace Transforms. The professor has given me the answer of Z(s)=10^7 ((s+10^4)/(s^2+10000s+10^10)), but I don’t understand how he got there. How do I arrive at that solution?

 
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I have a circuit with a 10Ω resistor that separates into a parallel circuit after the resistor

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I have a circuit with a 10Ω resistor that separates into a parallel circuit after the resistor. In one branch is

a 1mH inductor and in the other is a .1uF capacitor. What is the total inductance of the circuit expressed in Laplace domain as a ratio of two polynomials in s, with the coefficients of the highest power.

 
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Apply Laplace transform to the following differential equation and express it as an algebraic equation in s: (d^2x)/dt^2)+(4dx/dt)+5x=2

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Apply Laplace transform to the following differential equation and express it as an algebraic equation in

s:

(d^2x)/dt^2)+(4dx/dt)+5x=2

 
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Assume that XTAL = 4 MHz. Find the value needed to generate a time delay of 5 ms. Use the largest prescaler possible.

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Assume that XTAL = 4 MHz. Find the value needed to generate a time delay of 5 ms. Use the largest prescaler

possible.

 
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